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Finding the Fourth Proportional to 397,381.20, 596,177.40 and 172,645.20

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Solution

The fourth proportional to 397,381.20, 596,177.40 and 172,645.20 is: 259,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,381.20 : 596,177.40 = 172,645.20 : x
  2. Step 2: Convert to fraction form
    397,381.20/596,177.40 = 172,645.20/x
  3. Step 3: Cross multiply
    397,381.20x = 596,177.40 × 172,645.20
  4. Step 4: Simplify right side
    397,381.20x = 102,927,166,458.48
  5. Step 5: Solve for x
    x = 102,927,166,458.48/397,381.20
  6. Step 6: Final answer
    x = 259,013.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.